"Please excuse the inconvenience caused" is correct and can be used in written English. You can use it whenever you want to apologize for any inconvenience a situation may have caused.

If there have been many inconveniences, which is technically not incorrect, one usually still says: "Excuse me for all the inconvenience I've caused you." The same applies to "trouble". "Please excuse me for all (of) the trouble (rarely, but possible: troubles) I've caused you."

You should use this phrase when you want to share sincere apologies for interrupting someone or causing an inconvenience. It’s a great way to let them know (via email) that you did not mean to inconvenience someone, but there was no other way around it. Dear Bert, Please forgive me for any inconvenience this may have caused.

Apologies For Any Inconveniences Caused Email is an email response apologizing for any inconveniences caused. It can be used in a customer service context, or any situation where someone has been inconvenienced. The email should express sincere regret and offer to help remedy the situation if possible.